Question

Find the profit or loss per

cent in the following cases.
(i) Cost price = Rs.24 and selling price = Rs.30.
(ii) Cost price = Rs.250 and selling price = Rs.200.
(iii) Selling price = Rs.360 and cost price = Rs.300.
(iv) Selling price = Rs.1600 and cost price = Rs.1800.

Answer 1

We know that

$Profit\left(\%\right)=\frac{S.P-C.P}{C.P}\times 100$

$Loss\left(\%\right)=\frac{C.P-S.P}{C.P}\times 100$

$Part\left(i\right)$

$Profit\left(\%\right)=\frac{30-24}{24}\times 100$

$Profit\left(\%\right)=\frac{6}{24}\times 100$

$Profit\left(\%\right)=25\%$

$Part\left(ii\right)$

$Loss\left(\%\right)=\frac{250-200}{250}\times 100$

$Loss\left(\%\right)=\frac{50}{250}\times 100$

$Loss\left(\%\right)=20\%$

$Part\left(iii\right)$

$Profit\left(\%\right)=\frac{360-300}{300}\times 100$

$Profit\left(\%\right)=\frac{60}{300}\times 100$

$Profit\left(\%\right)=20\%$

$Part\left(iv\right)$

$Loss\left(\%\right)=\frac{1800-1600}{1800}\times 100$

$Loss\left(\%\right)=\frac{200}{1800}\times 100$

$Loss\left(\%\right)=11.11\%$

Hence, this is the answer.